Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7273/855,1153/3239
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 7273,1153
Greatest Common Factor of Numerators i.e. GCF of 7273,1153 is 1 .
LCM of Denominators means LCM of 855,3239 as per the given fractions.
LCM of 855,3239 is 2769345 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7273,1153
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7273
List of positive integer factors of 7273 that divides 7273 without a remainder.
1,7,1039,7273
Factors of 1153
List of positive integer factors of 1153 that divides 1153 without a remainder.
1,1153
Greatest Common Factor
We found the factors 7273,1153 . The biggest common factor number is the GCF number.
So the greatest common factor 7273,1153 is 1.
Lets's calculate LCM of 855,3239
Given numbers has no common factors except 1. So, there LCM is their product i.e 2769345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2769345
Therefore, the GCF of Fractions 7273/855,1153/3239 is 1/2769345
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 855,3239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,3239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(855,3239) x common factors =1 x 1 = 1
LCM(855,3239) = ( 855 × 3239 ) / 1
LCM(855,3239) = 2769345 / 1
LCM(855,3239) = 2769345
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 7273/855, 1153/3239?
Answer: GCF of Numerators as per given numbers 7273/855, 1153/3239 is
GCF of Numerators i.e. for 7273,1153 is 1
LCM of denominators i.e. for 855,3239 is 2769345.
Thus, GCF of Fractions is 1/2769345.Finally, GCF of Fractions for 7273/855, 1153/3239 is 1/2769345.